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UPSC ISS (Statistical Service) Quantitative Aptitude — practice questions

Explore 29 free Quantitative Aptitude questions in UPSC ISS (Statistical Service) Statistics. Open each question or exercise to read its content, reference answers and available explanation.

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Quantitative Aptitude questions and exercises with answers

Showing questions 1–29 of 29.

An analyst measures how certain an outcome of a repeated activity is. That measure is called:Read the answer and worked solution →A die is rolled once. The set containing 1, 2, 3, 4, 5 and 6 is called the:Read the answer and worked solution →Probabilities cannot take just any value. Every probability lies between:Read the answer and worked solution →A fair coin is flipped 20,000 times and heads comes up close to half the time. That result illustrates that probability is the long-term:Read the answer and worked solution →Rolling a fair die once, the probability of getting a four is 1/6 because there are six outcomes and:Read the answer and worked solution →An event A has probability 0.5. That means A is equally likely to occur or:Read the answer and worked solution →The event consisting of everything that is not A is written A prime and called the:Read the answer and worked solution →Because those two events cover everything between them, their probabilities must add to:Read the answer and worked solution →A card is drawn, and we ask the probability it is a king given that it is a face card. This is a:Read the answer and worked solution →A die is rolled twice, and the first roll tells us nothing about the second. Such events are:Read the answer and worked solution →Two events cannot both happen on the same trial, such as rolling a two and rolling a five at once. They are:Read the answer and worked solution →To find the chance of A or B happening, add their probabilities and then subtract the probability that:Read the answer and worked solution →For two mutually exclusive events, that subtraction step changes nothing because the overlap probability is:Read the answer and worked solution →To find the chance that A and B both occur, the multiplication rule multiplies P(B) by:Read the answer and worked solution →For independent events that conditional term simplifies, so the chance of both is found by multiplying:Read the answer and worked solution →A sample space can be shown by listing outcomes, by a Venn diagram or by a:Read the answer and worked solution →A name is drawn from a hat and then put back before the next draw. That sampling is done:Read the answer and worked solution →If the name is kept out instead, each member of the population can be chosen:Read the answer and worked solution →Drawing two cards from a 52-card deck without replacement, the denominator for the second draw becomes:Read the answer and worked solution →Drawing one card from a full deck, the probability it is a spade is 13 out of:Read the answer and worked solution →Uppercase letters such as A and B are used in probability notation to represent:Read the answer and worked solution →Catch the probability termsRead the answer and worked solution →Pop the sample space viewsRead the answer and worked solution →Run the probability gatesRead the answer and worked solution →Slice the probability wordsRead the answer and worked solution →Add or multiplyRead the answer and worked solution →Sort the probability wordsRead the answer and worked solution →Type the numberRead the answer and worked solution →Probability bingoRead the answer and worked solution →

Worked practice questions

An analyst measures how certain an outcome of a repeated activity is. That measure is called:

  1. Probability
  2. Popularity
  3. Proportion
  4. Perimeter
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Correct answer: A. Probability

1. The activity can be repeated many times. 2. What is being quantified is how sure we are of each outcome. 3. That measure is probability. _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

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A die is rolled once. The set containing 1, 2, 3, 4, 5 and 6 is called the:

  1. Standard scale
  2. Sample space
  3. Sample survey
  4. Simple series
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Correct answer: B. Sample space

1. Every result the roll could give is listed once. 2. Nothing outside that list can happen. 3. That complete list is the sample space. _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

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Probabilities cannot take just any value. Every probability lies between:

  1. Zero and one
  2. One and ten
  3. Minus one, one
  4. Zero and ninety
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Correct answer: A. Zero and one

1. An impossible outcome gets the smallest value. 2. A certain outcome gets the largest. 3. So every probability lies between zero and one inclusive. _Source: OpenStax Introductory Statistics 2e, Chapter 3, Probability Topics._

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